Simplify (6-2x+7x^2)-(10x-3+3x^2)

$(6 - 2 x + 7 x^{2}) - (10 x - 3 + 3 x^{2})$

Step 1

Simplify each term.

Apply the distributive property.

$6 - 2 x + 7 x^{2} - (10 x) - - 3 - (3 x^{2})$

Simplify.

Multiply $10$ by $- 1$ .

$6 - 2 x + 7 x^{2} - 10 x - - 3 - (3 x^{2})$

Multiply $- 1$ by $- 3$ .

$6 - 2 x + 7 x^{2} - 10 x + 3 - (3 x^{2})$

Multiply $3$ by $- 1$ .

$6 - 2 x + 7 x^{2} - 10 x + 3 - 3 x^{2}$

$6 - 2 x + 7 x^{2} - 10 x + 3 - 3 x^{2}$

$6 - 2 x + 7 x^{2} - 10 x + 3 - 3 x^{2}$

Step 2

Simplify by adding terms.

Add $6$ and $3$ .

$- 2 x + 7 x^{2} - 10 x + 9 - 3 x^{2}$

Subtract $10 x$ from $- 2 x$ .

$7 x^{2} - 12 x + 9 - 3 x^{2}$

Subtract $3 x^{2}$ from $7 x^{2}$ .

$4 x^{2} - 12 x + 9$

$4 x^{2} - 12 x + 9$

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